Well, I havent played most of the games ou are refering to, but i have played Super Mario 1-3, Zelda 1 &2, Bubble bobble, tetris, castlevania 2, Final Fantasy 1&2, Star Tropics, Bomber Man, TMNT 2, Excite Bike, Mega Mans 1-4, and a handful of others. Maybe you have found some bad ROMs, I havent yet, but you have tried games I have not. You can also download ROMs from the internet from any manner of ROM sites out there, until you find one out there that works right for what you are looking for.
I have been playing EMU roms for YEARS on my PC, and thats the way it is with ROMs many work, some dont. ROM Budy just organizes the ROMs from some online source and makes it easy to just grab one on your phone real quick n easy, but you dont HAVE to use Rom Buddy roms for it to work. Like I said there are tons of them out there, and some are bunk.